16 citations · 19 across the 9 of their papers we have counts for
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math.PR2019
Limit theorems for chains with unbounded variable length memory which satisfy Cramer condition
A. Logachev, A. Mogulskii, A. Yambartsev
Here we obtain the exact asymptotics for large and moderate deviations, strong law of large numbers and central limit theorem for chains with unbounded variable length memory.
math.PR2019★ 16 cited
Large deviations in a population dynamics with catastrophes
A. Logachov, O. Logachova, A. Yambartsev
The large deviation principle on phase space is proved for a class of Markov processes known as random population dynamics with catastrophes. In the paper we study the process whic…
math.PR2019
Local large deviation principle for Wiener process with random resetting
A. Logachov, O. Logachova, A. Yambartsev
We consider a class of Markov processes with resettings, where at random times, the Markov processes are restarted from a predetermined point or a region. These processes are frequ…